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Finding the Third Proportional to 311,823 and 502,186.50

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Solution

The third proportional to 311,823 and 502,186.50 is: 808,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,823 : 502,186.50 = 502,186.50 : x
  2. Step 2: Convert to fraction form
    311,823/502,186.50 = 502,186.50/x
  3. Step 3: Cross multiply
    311,823x = 502,186.50 × 502,186.50
  4. Step 4: Simplify right side
    311,823x = 252,191,280,782.25
  5. Step 5: Solve for x
    x = 252,191,280,782.25/311,823
  6. Step 6: Final answer
    x = 808,764.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.